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November/December 2019 The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions
Gianpaolo Piscitelli
Differential Integral Equations 32(11/12): 705-734 (November/December 2019).

Abstract

We analyze the limiting problem for the anisotropic $p$-Laplacian ($p\rightarrow\infty$) on convex sets, with the mean of the viscosity solution. We also prove some geometric properties of eigenvalues and eigenfunctions. In particular, we show the validity of a Szegö-Weinberger type inequality.

Citation

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Gianpaolo Piscitelli. "The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions." Differential Integral Equations 32 (11/12) 705 - 734, November/December 2019.

Information

Published: November/December 2019
First available in Project Euclid: 22 October 2019

zbMATH: 07144910
MathSciNet: MR4021260

Subjects:
Primary: 35D40, 35J70, 35P15, 35P30

Rights: Copyright © 2019 Khayyam Publishing, Inc.

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Vol.32 • No. 11/12 • November/December 2019
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